Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Factorization of composed polynomials and applications

Full text
Author(s):
Brochero-Martinez, F. E. [1] ; Reis, Lucas [2] ; Silva-Jesus, Lays [1, 3]
Total Authors: 3
Affiliation:
[1] Univ Fed Minas Gerais, Dept Matemat, BR-30123970 Belo Horizonte, MG - Brazil
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
[3] Univ Fed Roraima, Dept Matemat, BR-69310000 Boa Vista, RR - Brazil
Total Affiliations: 3
Document type: Journal article
Source: DISCRETE MATHEMATICS; v. 342, n. 12 DEC 2019.
Web of Science Citations: 0
Abstract

Let F-q be the finite field with q elements, where q is a prime power and let n be a positive integer. In this paper, we explore the factorization of f(x(n)) over F-q, where f(x) is an irreducible polynomial over F-q. Our main results provide generalizations of recent works on the factorization of binomials x(n) - 1. As an application, we provide an explicit formula for the number of irreducible factors of f(x(n)) under some generic conditions on f and n. (C) 2019 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 18/03038-2 - Polynomial maps in finite fields and their applications
Grantee:Lucas da Silva Reis
Support Opportunities: Scholarships in Brazil - Post-Doctoral